Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872y |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4628777801490432 = -1 · 213 · 34 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34584,-2153232] |
[a1,a2,a3,a4,a6] |
j |
46268279/46818 |
j-invariant |
L |
1.8896994083594 |
L(r)(E,1)/r! |
Ω |
0.23621242604493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734g2 55488dz2 41616cr2 816j2 |
Quadratic twists by: -4 8 -3 17 |